Partial *-algebras of closed operators and their commutants. I. General structure

J.-P. Antoine; F. Mathot

Annales de l'I.H.P. Physique théorique (1987)

  • Volume: 46, Issue: 3, page 299-324
  • ISSN: 0246-0211

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Antoine, J.-P., and Mathot, F.. "Partial *-algebras of closed operators and their commutants. I. General structure." Annales de l'I.H.P. Physique théorique 46.3 (1987): 299-324. <http://eudml.org/doc/76361>.

@article{Antoine1987,
author = {Antoine, J.-P., Mathot, F.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {algebras of unbounded operators; partial algebras; partial *-algebra; closable operators on a fixed dense domain of a Hilbert space; strong and weak partial -algebras; commutants; bicommutants; partial -algebras; partial -algebras; extensions},
language = {eng},
number = {3},
pages = {299-324},
publisher = {Gauthier-Villars},
title = {Partial *-algebras of closed operators and their commutants. I. General structure},
url = {http://eudml.org/doc/76361},
volume = {46},
year = {1987},
}

TY - JOUR
AU - Antoine, J.-P.
AU - Mathot, F.
TI - Partial *-algebras of closed operators and their commutants. I. General structure
JO - Annales de l'I.H.P. Physique théorique
PY - 1987
PB - Gauthier-Villars
VL - 46
IS - 3
SP - 299
EP - 324
LA - eng
KW - algebras of unbounded operators; partial algebras; partial *-algebra; closable operators on a fixed dense domain of a Hilbert space; strong and weak partial -algebras; commutants; bicommutants; partial -algebras; partial -algebras; extensions
UR - http://eudml.org/doc/76361
ER -

References

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  1. [1] O. Bratteli and D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics I, Springer Verlag, Berlin et al., 1979. Zbl0421.46048MR611508
  2. [2] See, for instance, G.G. Emch and H.J.F. Knops, J. Math. Phys., t. 11, 1970, p. 3008, or H. Narnhofer, Acta Phys. Austr., t. 49, 1978, p. 207. 
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  9. [9] A. Inoue, Pacific J. of Math., t. 65, 1976, p. 77 and subsequent papers. Zbl0331.46063MR512382
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